摘要
文中定义了一种新环——X_n—凝聚环,并将文献[1]、[2]中M E Harris关于凝聚环的一些重要结果予以推广。本文主要讨论以下两个方面的内容:(1)X_n—凝聚环的收缩与扩张;(2)局部X_n—凝聚性。
The author defines a class of rings,Xn-coherent rings, and generalizes some important results on coherent ring given by M E Harris. Dealt with arc the following respects: contraction and extensions of Xn-coherent rings and local Xn-coherence.